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The Dunkl-Coulomb system in the plane is considered.
Sur la régularisation du problème des trois corps
T. Levi-Civita · 1920
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Theory of nonbijective canonical transformations in mechanics: Application to the Coulomb problem
M. Boiteux · 1982
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Spectrum (super-) Symmetries of Particles in a Coulomb Potential
E. D’Hoker and L. Vinet · 1985
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Differential-difference operators associated to reflection groups
C. F. Dunkl · 1989
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Representation of Lie Groups and Special Functions
N. Ja. Vilenkin and A. U. Klimyk · 1991
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Quantum Mechanics and Polynomials of a Discrete Variable
R. Floreanini, J. LeTourneux, and L. Vinet · 1993
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Superintegrability and associated polynomial solutions: Euclidean space and the sphere in two dimensions
E.G. Kalnins, W. Miller, and G. S. Pogosyan · 1996
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Orthogonal Polynomials of Several Variables
C. F. Dunkl and Y. Xu · 2001
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Coupling constant metamorphosis and Nth-order symmetries in classical and quantum mechanics
E. G. Kalnins, W. Miller, and S. Post · 2010
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Hypergeometric orthogonal polynomials and their q q -analogues
R. Koekoek, P.A. Lesky, and R.F. Swarttouw · 2010
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Mathematical Methods for Physicists
G. B. Arfken, H. Weber, and F. E. Harris · 2012
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Dunkl Operators and a family of realizations of o s p ( 1 | 2 ) osp(1|2)
H. DeBie, B. Ørsted, P. Somberg, and V. Souček · 2012
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Laguerre semigroup and Dunkl operators
S. Ben Saïd, T. Kobayshi, and B. Ørsted · 2012
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Dunkl shift operators and Bannai–Ito polynomials
S. Tsujimoto, L. Vinet, and A. Zhedanov · 2012
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A limit q = − 1 q=-1 for the Big q q -Jacobi polynomials
L. Vinet and A. Zhedanov · 2012
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The singular and 2:1 anisotropic Dunkl oscillators in the plane
V.X. Genest, L. Vinet, and A. Zhedanov · 2013
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Contractions of 2D 2 nd order quantum superintegrable systems and the Askey scheme for hypergeometric orthogonal polynomials
E.G. Kalnins, W. Miller, and S. Post · 2013
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Classical and quantum superintegrability with applications
W. Miller, S. Post, and P. Winternitz · 2013
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Dual − 1 -1 Hahn polynomials: “Classical” polynomials beyond the Leonard duality
S. Tsujimoto, L. Vinet, and A. Zhedanov · 2013
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A "continuous" limit of the Complementary Bannai-Ito polynomials: Chihara polynomials
V. X. Genest, L. Vinet, and A. Zhedanov · 2014
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The Bannai-Ito algebra and a superintegrable system with reflections on the 2-sphere
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The Dunkl oscillator in the plane: I. Superintegrability, separated wavefunctions and overlap coefficients
V.X. Genest, M.E.H. Ismail, L. Vinet, and A. Zhedanov · 2013
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Bispectrality of the Complementary Bannai–Ito polynomials
V.X. Genest, L. Vinet, and A. Zhedanov · 2013
Cited alongside, same era.
Superintegrability in two dimensions and the Racah-Wilson algebra
V.X. Genest, L. Vinet, and A. Zhedanov · 2013
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Dynamical Groups and Spectrum Generating Algebras
A. Bohm, Y. Ne’eman, A. O. Barut, et al
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V. X. Genest, L. Vinet, and A. Zhedanov · 2014
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The Dunkl oscillator in three dimensions
V. X. Genest, L. Vinet, and A. Zhedanov · 2014
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The Dunkl oscillator in the plane: II. Representations of the symmetry algebra
V.X. Genest, M.E.H. Ismail, L. Vinet, and A. Zhedanov · 2014
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Le problème de Dunkl-Coulomb
A. Lapointe · 2014
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